• DocumentCode
    2149824
  • Title

    Quantum stochastic Weyl operators

  • Author

    Accardi, Luigi ; Boukas, Andreas

  • Author_Institution
    Centro Vito Volterra, Universita di Roma TorVergata, Italy
  • Volume
    3
  • fYear
    2003
  • fDate
    20-22 Aug. 2003
  • Firstpage
    797
  • Abstract
    The quantum stochastic differential equation satisfied by the unitary operator U(t) = eiE(t) with E(t) = λt + z Bt- + z~ Bt+ + k Mt, where Bt-, Bt+, and Mt are the square of white noise processes, is obtained in the module form.
  • Keywords
    Hilbert spaces; Lie algebras; mathematical operators; nonlinear differential equations; quantum noise; stochastic processes; white noise; Hilbert space; Lie algebra; oscillator algebra; quantum noise; quantum stochastic Weyl operators; quantum stochastic differential equation; unitary operator; universal enveloping algebra; white noise processes; Algebra; Differential equations; Hilbert space; Integrated circuit noise; Oscillators; Quantum mechanics; Stochastic processes; Stochastic resonance; Tensile stress; White noise;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Physics and Control, 2003. Proceedings. 2003 International Conference
  • Print_ISBN
    0-7803-7939-X
  • Type

    conf

  • DOI
    10.1109/PHYCON.2003.1237005
  • Filename
    1237005